CN109446617A - Rc beam bridge earthquake collapse determination method based on energy balance - Google Patents
Rc beam bridge earthquake collapse determination method based on energy balance Download PDFInfo
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Abstract
The present invention provides a kind of armored concrete concrete beam bridge earthquake collapse determination method based on energy balance, include: S1: the global analysis finite element model of creation rc beam bridge structure determines geological process input direction and geological process component combination mode；S2: it is applied on global analysis finite element model one by one, carries out seismic response Nonlinear time-history analysis, analyzes the response of rc beam bridge structure under different earthquake earthquake intensity operating condition by selection n kind input-to-state stabilization；S3: the dump energy ratio in each earthquake intensity operating condition is calculated, it is compared with a dump energy limit ratio, if the dump energy ratio being calculated is less than dump energy limit ratio, then determine that rc beam bridge structure enters to collapse the stage, otherwise, it is determined that rc beam bridge structure is not collapsed.The present invention can overcome the shortcomings of the criterion of collapsing of existing Component- Based Development, provide a kind of rc beam bridge earthquake collapse determination method of layer of structure based on principle of energy balance.
Description
Technical field
The present invention relates to the anti-fall analysis fields that collapses of field of civil engineering jackshaft girder construction, are based on energy in particular to one kind
Measure the rc beam bridge earthquake collapse determination method of balance.
Background technique
Rc beam bridge is the main bridge type of China's Material bridge, and in earthquake centre in multiple times earthquake all occurred for such bridge type
Damage, when serious even bridge collapse, more famous has the sub- level ground bridge of Wenchuan earthquake The Zhong Temple, be Simple T-Girders (bridge floor is continuous),
Third joins a hole simply supported beam and is longitudinally fallen in water along bridge in Wenchuan earthquake.
In the research and engineering practice of current seismic Performance Design, design to resist progressive collapse is a unique field, no
Light is because it is significant --- the mechanism and influence factor that " no collapsing with strong earthquake " is the most basic requirement of Aseismic Design, and collapses
Also extremely complex.Essentially, structural collapse is the complex process changed from non-individual body to discontinuous body, therefore,
Scholars mostly use greatly the collapse resistant capacity of the technique study bridge of numerical simulation at present.
In the practical earthquake of bridge, Chang Faxian key member destroys the case for causing structural collapse, therefore some scholars will
The criterion of collapsing of structure is degenerated for the criterion of collapsing (also referred to as failure criteria) of component: finding key member, destruction is then thought to tie
Structure collapses.Some scholars are determined using overall target, i.e., structural collapse criterion is set to the failure criteria of multiple key members
Structural collapse is regarded as in the destruction of set, any one key member.The above structure-based criterion of collapsing of two classes has larger
Safe clearance is conducive to design and uses, but can not accurately analyze the specific moment of structural collapse, for collapse mechanism, destroyed
Cheng Buneng is completely disclosed, and is judged one by one the failure criteria of multiple components also relatively complicated.In addition there are scholar be based on
Software simulation, judges whether structure collapses by visual power response procedure.
Summary of the invention
Present invention aims to overcome that the deficiency of the criterion of collapsing of existing Component- Based Development, provides one based on principle of energy balance
The rc beam bridge earthquake collapse determination method of kind layer of structure.
To reach above-mentioned purpose, the present invention proposes that a kind of rc beam bridge earthquake collapse based on energy balance determines
Method the described method comprises the following steps:
S1: the global analysis finite element model of creation rc beam bridge structure, for the global analysis finite element mould
Type determines geological process input direction and geological process component combination mode.
S2: it is applied on the global analysis finite element model, to described whole by selection n kind input-to-state stabilization one by one
Body analysis finite element model carries out seismic response Nonlinear time-history analysis, wherein the earthquake peak value of each input-to-state stabilization adds
Speed is configured to be gradually increased as the minimum limit value corresponding to it, analyzes rc beam bridge under different earthquake earthquake intensity operating condition
The response of structure, the n are the positive integer greater than zero.
S3: calculating the dump energy ratio in step S2 in each earthquake intensity operating condition, and the dump energy ratio is configured to t
The ratio between the accumulation gross energy of the rc beam bridge structure residual system at moment and external work, by it with a dump energy than limiting
Value compares, if the dump energy ratio being calculated is less than dump energy limit ratio, determines rc beam bridge structure
Into the stage of collapsing, otherwise, it is determined that rc beam bridge structure is not collapsed.
In further embodiment, in step S1, according to the design data of reinforced concrete hollow shear wall to establish the steel
The global analysis finite element model of reinforced concrete continuous bridge structure.
In further embodiment, the n is more than or equal to 3.
In further embodiment, the method also includes:
The dump energy ratio ξ of the rc beam bridge structure of the t moment is calculated by following formula:
E(ti)=E (ti-1)+ΔE-EDisabling unit
W(ti)=W (ti-1)+ΔW(ti)
Δ E=Δ EK(ti)+ΔED(ti)+ΔER(ti)+ΔEH(ti)
Wherein, E (ti) it is tiThe cumulative total energy that moment rc beam bridge remaining structure is generated by geological process,
EDisabling unitIt is ti-1To tiThe newly generated disabling unit of period rc beam bridge gross energy as caused by geological process；
W(ti) it is 0 to tiIt is done work in time by external force is accumulative, Δ W (ti) it is incremental time Δ ti-1/2That is ti-1To tiPhase
Between external force done work；
ΔE、ΔEK(ti)、ΔED(ti)、ΔER(ti)、ΔEH(ti) it is respectively rc beam bridge system tiMoment
Gross energy, kinetic energy, the increment for damping energy, strain energy, sandglass model.
Based on preceding method, the present invention further mentions a kind of rc beam bridge earthquake collapse judgement based on energy balance
System, the system comprises following modules:
1) for creating the global analysis finite element model of rc beam bridge structure, for the global analysis finite element
Model determines the module of geological process input direction and geological process component combination mode.
2) for selecting n kind input-to-state stabilization, it is applied to one by one on the global analysis finite element model, to described
Global analysis finite element model carries out seismic response Nonlinear time-history analysis, wherein the earthquake peak value of each input-to-state stabilization
Acceleration is configured to be gradually increased as the minimum limit value corresponding to it, analyzes reinforced beam under different earthquake earthquake intensity operating condition
The module of the response of bridge structure, the n are the positive integer greater than zero.
3) for calculating the module of the dump energy ratio in each earthquake intensity operating condition, the dump energy ratio is configured to
The ratio between the accumulation gross energy of the rc beam bridge structure residual system of t moment and external work.
4) for comparing the dump energy ratio being calculated with a dump energy limit ratio, if what is be calculated is surplus
Complementary energy ratio is less than dump energy limit ratio, then determines that rc beam bridge structure enters and collapse the stage, otherwise, it is determined that reinforcing bar
The module that concrete beam bridge structure is not collapsed.
By the above technical solution of the present invention, compared with existing, significant beneficial effect is, the existing side of judgement of collapsing
Method is mainly collapsing for the set proposition of the criterion of collapsing based on most critical component or the failure criteria based on multiple key members
Judge process, there is larger safe clearance for practical structures, can use it and carry out full design to resist progressive collapse content to retain sovereignty over a part of the country, but mesh
Preceding this kind of criterion of collapsing all can not accurately provide the specific moment of structural collapse, cannot for the mechanism collapsed, destructive process
It is complete to disclose, and the failure criteria of multiple components is judged one by one also relatively complicated.The present invention is based on the originals of energy balance
Reason proposes a kind of criterion of collapsing of layer of structure applied to rc beam bridge.Compared with prior art, the present invention avoids
Component damage, that is, structural collapse conventional thought, inherently discloses the inherence between earthquake motion energy input and structural collapse
Relationship can accurately provide the structural collapse moment, be more conducive to the accuracy and authenticity of bridge collapse analysis, this method is also
Other bridge structures can be applied to.
It should be appreciated that as long as aforementioned concepts and all combinations additionally conceived described in greater detail below are at this
It can be viewed as a part of the subject matter of the disclosure in the case that the design of sample is not conflicting.In addition, required guarantor
All combinations of the theme of shield are considered as a part of the subject matter of the disclosure.
Can be more fully appreciated from the following description in conjunction with attached drawing present invention teach that the foregoing and other aspects, reality
Apply example and feature.The features and/or benefits of other additional aspects such as illustrative embodiments of the invention will be below
Description in it is obvious, or learnt in practice by the specific embodiment instructed according to the present invention.
Detailed description of the invention
Attached drawing is not intended to drawn to scale.In the accompanying drawings, identical or nearly identical group each of is shown in each figure
It can be indicated by the same numeral at part.For clarity, in each figure, not each component part is labeled.
Now, example will be passed through and the embodiments of various aspects of the invention is described in reference to the drawings, in which:
Fig. 1 is the flow chart of the rc beam bridge earthquake collapse determination method of the invention based on energy balance.
Fig. 2 is the flow chart of specific embodiments of the present invention one.
Fig. 3 is El Centro wave operating condition energy ratio change curve of the invention.
Specific embodiment
In order to better understand the technical content of the present invention, special to lift specific embodiment and institute's accompanying drawings is cooperated to be described as follows.
Various aspects with reference to the accompanying drawings to describe the present invention in the disclosure, shown in the drawings of the embodiment of many explanations.
Embodiment of the disclosure need not be defined on including all aspects of the invention.It should be appreciated that a variety of designs and reality presented hereinbefore
Those of apply example, and describe in more detail below design and embodiment can in many ways in any one come it is real
It applies, this is because conception and embodiment disclosed in this invention are not limited to any embodiment.In addition, disclosed by the invention one
A little aspects can be used alone, or otherwise any appropriately combined use with disclosed by the invention.
Specific embodiment one
In conjunction with Fig. 1, Fig. 2, the present invention proposes a kind of rc beam bridge earthquake collapse judgement side based on energy balance
Method the described method comprises the following steps:
S1: the global analysis finite element model of creation rc beam bridge structure, for the global analysis finite element mould
Type determines geological process input direction and geological process component combination mode.
Preferably, according to the design drawing of research object, the global analysis finite element of rc beam bridge structure is established
Model, according to the importance and actual demand situation of research object, to the reinforced concrete hollow shear wall structure finite element of foundation
Model determines geological process input direction and geological process component combination mode.
S2: it is applied on the global analysis finite element model, to described whole by selection n kind input-to-state stabilization one by one
Body analysis finite element model carries out seismic response Nonlinear time-history analysis, wherein the earthquake peak value of each input-to-state stabilization adds
Speed is configured to be gradually increased as the minimum limit value corresponding to it, analyzes rc beam bridge under different earthquake earthquake intensity operating condition
The response of structure, the n are the positive integer greater than zero.
Preferably, it according to the requirement of site condition, design acceleration response spectrum etc., fully considers randomness, selects
No less than 3 kinds of input-to-state stabilization is used for subsequent analysis, on this basis, applies amplitude modulation on global finite element computation model
Seismic wave afterwards, carries out seismic response Nonlinear time-history analysis, the earthquake peak acceleration of each input-to-state stabilization by it is small by
It is cumulative big, analyze the response of reinforced concrete hollow shear wall structure under different earthquake earthquake intensity operating condition.
S3: calculating the dump energy ratio in step S2 in each earthquake intensity operating condition, and the dump energy ratio is configured to t
The ratio between the accumulation gross energy of the rc beam bridge structure residual system at moment and external work, by it with a dump energy than limiting
Value compares, if the dump energy ratio being calculated is less than dump energy limit ratio, determines rc beam bridge structure
Into the stage of collapsing, otherwise, it is determined that rc beam bridge structure is not collapsed.
Preferably, being 0 in the interior external force resultant force of each moment structural system according to dAlembert principle, it may be assumed that
fI+fD+fS- P=0 (1)
Wherein, fIFor inertia force, fDFor damping force, fSFor elastic force, P is external force.
For in the finite element analysis based on explicit integral, tiThe equation of motion of moment more particle systems are as follows:
P(ti)-M·a(ti)-F(ti)+H(ti)=0 (2)
Wherein M is quality diagonal matrix, a (ti)、P(ti)、F(ti)、H(ti) it is respectively tiThe acceleration at moment, external force (contain
Physical strength), the equivalent node force vector of element stress field or stress divergence vector, hourglass viscosity damping force.
By the equilibrium condition of power it is found that external force do work it is equal with the increment of structure gross energy.If after geological process
Structure is intact, and system with several degrees of freedom should meet following equilibrium equation:
ΔEK(ti)+ΔED(ti)+ΔER(ti)+ΔEH(ti)=Δ W (ti) (3)
Wherein, Δ EK(ti)、ΔED(ti)、ΔER(ti)、ΔEH(ti) it is respectively system tiThe kinetic energy at moment, damping can, be answered
Become energy, sandglass model increment, Δ W (ti) it is incremental time Δ ti-1/2That is ti-1To tiPeriod external force is done work.
If structure is damaged after geological process, " kill " is commonly used in finite element analysis and damages unit simulation list
The failure of member, concrete operations are to leave out the quality and damping information of the disabling unit after element failure.Once there is unit quilt
" kill ", the structural energies such as kinetic energy, strain energy, the damping energy of remaining structure will be unable to equal with the suffered external work of structure accumulation
Weighing apparatus, therefore once find that the equilibrium relation of structural system no longer meets, critical component is likely to generate destruction in structure.When
Enough key members destroy, and it is to enter to collapse the stage that structural system is no longer stable.
Thus t is definediCumulative total energy E (the t that moment remaining structure is generated by geological processi) and 0 to tiBy outer in time
Power adds up done work W (ti) the ratio between be dump energy ratio ξ.
Finally, it is described each analysis operating condition in calculate ξ numerical value, and with dump energy limit ratio ξdIt is compared,
When dump energy ratio ξ is less than ξdCan decision structure enter collapse the stage.
Specific embodiment two
Two across girder length are the continuous bridge of 14.2m, and cross section is two panels T beam, and lower part pier stud is that armored concrete is real
Heart twin shaft pier, marked as C30, indulging muscle is HPB235 grades of reinforcing bars for beam, pier concrete strength.
Firstly, the global finite element model of full bridge structure is established using general finite meta software according to structural design drawing paper.
Concrete is simulated using solid element, and reinforcing bar is simulated using bar unit, is connected between reinforcing bar and concrete using conode mode,
The effect of restraint of the sliding and fracture of reinforcing bar with reinforcing bar to concrete is not considered.Support uses spring unit, and additional mass is adopted
It is simulated with mass unit.
Secondly, importance and actual demand situation according to two Span Continuous beam bridges, determine the RC Continuous established
Beam bridge structure finite element model geological process input direction is horizontal longitudinal direction and horizontal cross, and geological process component combination mode is
It is determined according to acceleration peak value relationship of the original seismic wave on two orthogonal direction of level, for example Landers seismic wave is original
The acceleration peak ratio in two direction of level is 1:0.788, therefore the horizontal ground motion component group inputted in numerical analysis in record
Conjunction mode is X+0.788Y (X is longitudinal direction, and Y is laterally).
Next, considering that the randomness in place chooses Lushan, Landers, Imperial valley, Northern
Calif-01, it Humbolt Bay, Imperial Valley-02, Loma Prieta, acquires in Niigata, Chi-Chi earthquake
The 10 representative seismic waves arrived are spare, these original waves will become defeated used in subsequent analysis after carrying out the processing such as amplitude modulation
Enter seismic wave.
Then, time compression is carried out respectively to 10 original waves, then multistage loadings carry out in finite element model after amplitude modulation
The seismic response Nonlinear time-history analysis of different operating conditions is collapsed the stage until excitation model bridges enter.
Finally, analyze the dump energy ratio ξ versus time curve in each seismic wave operating condition, and by peak of curve
With dump energy limit ratio ξdIt is compared, when dump energy ratio ξ is less than ξdCan decision structure under the input operating condition enter fall
It collapses the stage, peak accelerator that is on the contrary then continuing growing input seismic wave starts new condition calculating again after amplitude modulation, until going out
Now collapse operating condition, obtains ξ greater than ξdAt the time of, then finite element analysis terminates.By taking El Centro wave longitudinally input operating condition as an example,
Fig. 3 show dump energy ratio ξ versus time curve in the calculating operating condition that peak accelerator is 1.2g, it can be found that in t
ξ is greater than ξ when=1.03sd, therefore structural collapse, the operating condition are operating condition of collapsing, calculating terminates.
Although the present invention has been disclosed as a preferred embodiment, however, it is not to limit the invention.Skill belonging to the present invention
Has usually intellectual in art field, without departing from the spirit and scope of the present invention, when can be used for a variety of modifications and variations.Cause
This, the scope of protection of the present invention is defined by those of the claims.
Claims (5)
1. a kind of armored concrete concrete beam bridge earthquake collapse determination method based on energy balance, which is characterized in that described
Method the following steps are included:
S1: the global analysis finite element model of creation rc beam bridge structure, for the global analysis finite element model, really
Determine geological process input direction and geological process component combination mode；
S2: it is applied on the global analysis finite element model, to the entirety point by selection n kind input-to-state stabilization one by one
It analyses finite element model and carries out seismic response Nonlinear time-history analysis, wherein the earthquake peak acceleration of each input-to-state stabilization
It is configured to be gradually increased as the minimum limit value corresponding to it, analyzes rc beam bridge structure under different earthquake earthquake intensity operating condition
Response, the n is positive integer greater than zero；
S3: calculating the dump energy ratio in step s2 in each earthquake intensity operating condition, and the dump energy ratio is configured to t moment
Rc beam bridge structure residual system accumulation gross energy and the ratio between external work, it is done with a dump energy limit ratio
Compare, if the dump energy ratio being calculated is less than dump energy limit ratio, determines that rc beam bridge structure enters
Collapse the stage, otherwise, it is determined that rc beam bridge structure is not collapsed.
2. the armored concrete concrete beam bridge earthquake collapse determination method according to claim 1 based on energy balance,
It is characterized in that, in step s1, according to the design data of reinforced concrete hollow shear wall to establish the reinforced concrete continuous beam
The global analysis finite element model of bridge structure.
3. the armored concrete concrete beam bridge earthquake collapse determination method according to claim 1 based on energy balance,
It is characterized in that, the n is more than or equal to 3.
4. the armored concrete concrete beam bridge earthquake collapse determination method according to claim 1 based on energy balance,
It is characterized in that, the method also includes:
The dump energy ratio ξ of the rc beam bridge structure of the t moment is calculated by following formula:
E(ti)=E (ti-1)+ΔE-EDisabling unit
W(ti)=W (ti-1)+Δv(ti)
Δ E=Δ EK(ti)+ΔED(ti)+ΔER(ti)+ΔEH(ti)
Wherein, E (ti) it is tiThe cumulative total energy that moment rc beam bridge remaining structure is generated by geological process, EDisabling unitIt is
ti-1To tiThe newly generated disabling unit of period rc beam bridge gross energy as caused by geological process；
W(ti) it is 0 to tiIt is done work in time by external force is accumulative, Δ W (ti) it is incremental time Δ ti-1/2That is ti-1To tiOutside period
Power is done work；
ΔE、ΔEK(ti)、ΔED(ti)、ΔER(ti)、ΔEH(ti) it is respectively rc beam bridge system tiThe total energy at moment
Amount, kinetic energy, the increment for damping energy, strain energy, sandglass model.
5. a kind of armored concrete concrete beam bridge earthquake collapse decision-making system based on energy balance, which is characterized in that described
System includes:
For creating the global analysis finite element model of rc beam bridge structure, for the global analysis finite element model,
Determine the module of geological process input direction and geological process component combination mode；
For selecting n kind input-to-state stabilization, it is applied to one by one on the global analysis finite element model, to the entirety point
It analyses finite element model and carries out seismic response Nonlinear time-history analysis, wherein the earthquake peak acceleration of each input-to-state stabilization
It is configured to be gradually increased as the minimum limit value corresponding to it, analyzes rc beam bridge structure under different earthquake earthquake intensity operating condition
Response module, the n is positive integer greater than zero；
For calculating the module of the dump energy ratio in each earthquake intensity operating condition, the dump energy ratio is configured to t moment
Rc beam bridge structure residual system accumulation gross energy and the ratio between external work；
For comparing the dump energy being calculated ratio and a dump energy limit ratio, if the dump energy being calculated
Than being less than dump energy limit ratio, then determines that rc beam bridge structure enters and collapse the stage, otherwise, it is determined that armored concrete
The module that beam bridge structure does not collapse.
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Cited By (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN111507027A (en) * | 2019-09-10 | 2020-08-07 | 邓晨 | Method for judging integral power failure time of steel truss tower structure based on finite element software |
| CN113128081A (en) * | 2021-03-08 | 2021-07-16 | 广州大学 | Method, system and medium for predicting peak seismic response of pile-soil-structure system |
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|---|---|---|---|---|
| CN106407552A (en) * | 2016-09-13 | 2017-02-15 | 同济大学 | Design method for improving anti-collapse ability of RC frame core tube structure |
| CN107944202A (en) * | 2018-01-08 | 2018-04-20 | 西安科技大学 | A kind of RC frame structures are collapsed the decision method of limiting condition |
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Patent Citations (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN106407552A (en) * | 2016-09-13 | 2017-02-15 | 同济大学 | Design method for improving anti-collapse ability of RC frame core tube structure |
| CN107944202A (en) * | 2018-01-08 | 2018-04-20 | 西安科技大学 | A kind of RC frame structures are collapsed the decision method of limiting condition |
Cited By (4)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN111507027A (en) * | 2019-09-10 | 2020-08-07 | 邓晨 | Method for judging integral power failure time of steel truss tower structure based on finite element software |
| CN111507027B (en) * | 2019-09-10 | 2022-04-15 | 邓晨 | Method for judging integral power failure time of steel truss tower structure |
| CN113128081A (en) * | 2021-03-08 | 2021-07-16 | 广州大学 | Method, system and medium for predicting peak seismic response of pile-soil-structure system |
| CN113128081B (en) * | 2021-03-08 | 2022-07-12 | 广州大学 | Method, system and medium for predicting peak seismic response of pile-soil-structure system |
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